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QJEE MAIN 2022
The integral $\int_0^1 \frac{1}{7^{\left[\frac{1}{x}\right]}} \mathrm{dx}$, where [.] denotes the greatest integer function is equal to :
JEE MainMathematicsHard
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QJEE MAIN 2022
If the line $y=4+k x, k>0$, is the tangent to the parabola $y=x-x^2$ at the point $P$ and $V$ is the vertex of the parabola,...
JEE MainMathematicsMedium
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QJEE MAIN 2022
Given below are two statements. Statement I: Maltose has two $\alpha$-D-glucose units linked at $\mathrm{C}_1$ and $\mathrm{C}_4$ and is a reducing sugar. Statement II: Maltose...
JEE MainChemistryEasy
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QJEE MAIN 2022
Let $\mathrm{b}_1 \mathrm{~b}_2 \mathrm{~b}_3 \mathrm{~b}_4$ be a 4 -element permutation with $\mathrm{b}_{\mathrm{i}} \in\{1,2,3, \ldots \ldots \ldots, 100\}$ for $1 \leq \mathrm{i} \leq 4$ and $...
JEE MainMathematicsMedium
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QJEE MAIN 2022
Let $f$ be a differentiable function in $\left(0, \frac{\pi}{2}\right)$. If $\int_{\cos x}^1 t^2 f(t) d t=\sin ^3 x+\cos x$ then $\frac{1}{\sqrt{3}} f^{\prime}\left(\frac{1}{\sqrt{3}}\right)$ equal to:
JEE MainMathematicsMedium
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QJEE MAIN 2022
The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow((\sim p) \vee q)$ is logically equivalent to
JEE MainMathematicsMedium
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QJEE MAIN 2022
Let $P_1: \bar{r} .(2 \hat{i}+\hat{j}-3 \hat{k})=4$ be a plane. Let $P_2$ be another plane which passes through the points $(2,-3,2)(2$, $-2,-3)$ and $(1,-4,2)$. If the...
JEE MainMathematicsEasy
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QJEE MAIN 2022
The major product in the following reaction
JEE MainChemistryMedium
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QJEE MAIN 2022
If $m$ and $n$ respectively are the number of local maximum and local minimum points of the function $f(x)=\int_0^{x^2} \frac{t^2-5 t+4}{2+e^t} d t$, then the...
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